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Title: Breaking flavor democracy with symmetric perturbations

Abstract

Flavor democracy broken in the fermion mass matrix by means of small perturbations can give rise to hierarchical fermion masses. We study the breaking of the S$$L\atop{3}$$×S$$R\atop{3}$$ symmetry associated with democratic mass matrices to a smaller exchange symmetry S$$L\atop{2}$$×S$$R\atop{2}$$ in the charged lepton, up and down quark sectors. An additional breaking of the S$$L\atop{2}$$×S$$R\atop{2}$$ symmetry is necessary for the down quark mass matrix, which yields arbitrary perturbations in that sector. On the other hand, we require the neutrino mass matrix to be diagonal at the leading order, with the perturbations left arbitrary due to the absence of any guiding symmetry. We show that the interplay between these two kinds of perturbations reproduces the quark and lepton mass and mixing observables for either hierarchy of neutrino masses.

Authors:
ORCiD logo; ORCiD logo; ;
Publication Date:
Research Org.:
Univ. of Hawaii, Honolulu, HI (United States)
Sponsoring Org.:
USDOE Office of Science (SC), High Energy Physics (HEP)
OSTI Identifier:
1467948
Alternate Identifier(s):
OSTI ID: 1598038
Grant/Contract Number:  
de-sc0010504; SC0010504
Resource Type:
Published Article
Journal Name:
Physics Letters B
Additional Journal Information:
Journal Name: Physics Letters B Journal Volume: 785 Journal Issue: C; Journal ID: ISSN 0370-2693
Publisher:
Elsevier
Country of Publication:
Netherlands
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Citation Formats

Ghosh, Tathagata, Liao, Jiajun, Marfatia, Danny, and Yanagida, Tsutomu T. Breaking flavor democracy with symmetric perturbations. Netherlands: N. p., 2018. Web. doi:10.1016/j.physletb.2018.08.062.
Ghosh, Tathagata, Liao, Jiajun, Marfatia, Danny, & Yanagida, Tsutomu T. Breaking flavor democracy with symmetric perturbations. Netherlands. https://doi.org/10.1016/j.physletb.2018.08.062
Ghosh, Tathagata, Liao, Jiajun, Marfatia, Danny, and Yanagida, Tsutomu T. Mon . "Breaking flavor democracy with symmetric perturbations". Netherlands. https://doi.org/10.1016/j.physletb.2018.08.062.
@article{osti_1467948,
title = {Breaking flavor democracy with symmetric perturbations},
author = {Ghosh, Tathagata and Liao, Jiajun and Marfatia, Danny and Yanagida, Tsutomu T.},
abstractNote = {Flavor democracy broken in the fermion mass matrix by means of small perturbations can give rise to hierarchical fermion masses. We study the breaking of the S$L\atop{3}$×S$R\atop{3}$ symmetry associated with democratic mass matrices to a smaller exchange symmetry S$L\atop{2}$×S$R\atop{2}$ in the charged lepton, up and down quark sectors. An additional breaking of the S$L\atop{2}$×S$R\atop{2}$ symmetry is necessary for the down quark mass matrix, which yields arbitrary perturbations in that sector. On the other hand, we require the neutrino mass matrix to be diagonal at the leading order, with the perturbations left arbitrary due to the absence of any guiding symmetry. We show that the interplay between these two kinds of perturbations reproduces the quark and lepton mass and mixing observables for either hierarchy of neutrino masses.},
doi = {10.1016/j.physletb.2018.08.062},
journal = {Physics Letters B},
number = C,
volume = 785,
place = {Netherlands},
year = {2018},
month = {10}
}